Pith. sign in

REVIEW 1 cited by

On the tensor product of enriched $\infty$-categories

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2311.13362 v1 pith:QHOJ425Z submitted 2023-11-22 math.CT math.AT

Rune Haugseng This is my paper · ORCID
classification math.CTmath.AT
keywords inftycategoriesenrichedproducttensorauthorcategorycolimits
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

We show that the tensor product of $\infty$-categories enriched in a suitable monoidal $\infty$-category preserves colimits in each variable, fixing a mistake in an earlier paper of Gepner and the author. We also prove that essentially surjective and fully faithful functors form a factorization system on enriched $\infty$-categories, and that the tensor product and internal hom are compatible with this.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Enriched $\infty$-categories as marked module categories

    math.AT 2025-01 conditional novelty 8.0 of 10

    Enriched ∞-categories are equivalent to presentable module categories marked by an atomically generating family of representables.

Pith tools